Professor Currie was a litigator in private practice before joining the University of Ottawa in 1997. In 2002-2004 he was President of the Canadian Council on International Law and from 2004-2006 he was Scholar in Residence in the Legal Affairs Bureau of the Canadian Department of Foreign Affairs and International Trade. He has appeared at all levels of Canadian courts and has represented Canada before a number of UN and other international bodies, including the International Criminal Tribunal for the Former Yugoslavia. He has also designed and taught courses on the theory and practice of international law for the Canadian Foreign Service Institute. In 2010, he was a member of the Canadian delegation to the first Review Conference of the Rome Statute of the International Criminal Court in Kampala, Uganda. 

Professor Currie is Editor-in-Chief of the Canadian Yearbook of International Law; a member of the University of Ottawa's Faculty of Graduate and Postdoctoral Studies; and an adjunct research professor in the Norman Paterson School of International Affairs at Carleton University. He is also a member of both the Senate and Board of Governors of the University of Ottawa and chairs the University's Senate Appeals Committee.